2188420536960 has 1024 divisors, whose sum is σ = 9048904704000. Its totient is φ = 489534160896.

The previous prime is 2188420536949. The next prime is 2188420536979. The reversal of 2188420536960 is 696350248812.

2188420536960 is a `hidden beast` number, since 2 + 1 + 8 + 8 + 42 + 0 + 536 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2188420536897 and 2188420536906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1227380229 + ... + 1227382011.

It is an arithmetic number, because the mean of its divisors is an integer number (8836821000).

Almost surely, 2^{2188420536960} is an apocalyptic number.

2188420536960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2188420536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524452352000).

2188420536960 is an abundant number, since it is smaller than the sum of its proper divisors (6860484167040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2188420536960 is a wasteful number, since it uses less digits than its factorization.

2188420536960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2030 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 2188420536960 in words is "two trillion, one hundred eighty-eight billion, four hundred twenty million, five hundred thirty-six thousand, nine hundred sixty".